Quantitative analysis of carbohydrate-protein interactions using glycan microarrays: determination of surface and solution dissociation constants

ABSTRACT

A method, system and device to identify, study and/or mimic carbohydrate-protein interactions on cell surfaces and in solution measured by a glycan microarray. In some instances the method, system and device uses very small quantities of carbohydrate as low as attomol. In some instances the system, method and device is high-throughput. The small quantity senstivity may allow for close placement of carbohydrate array members wherein due to close proximity multivalent interactions with proteins may be identified.

RELATED APPLICATIONS

This application is a divisional of U.S. patent application Ser. No.12/422,733, filed Apr. 14, 2009, which claims the benefit and priorityto U.S. Provisional Application Ser. No. 61/049,358, filed Apr. 30,2008, the contents of each of which are herein incorporated by referenceas if set forth in their entirety.

FIELD OF DISCLOSURE

This disclosure related to sensitive, high throughput, glycan microarraysystmes, methods and devices for examining carbohydrate-proteininteractions on surface and in solution. More particularly, the glycanmicroarray is a platform for using very small amounts of materials. Theglycan microarray supports mulivalent interactions and may be used todetermine the surface dissociation constant (K_(D, surf)).

BACKGROUND

Carbohydrates can be envisioned as the K'nex™ toys of life. They arebuilding blocks with multiple points of attachment, which can formhighly brached and sterochemically-rich structures. They are difficultto study because the connecting points are not as sturdy as the K'nex.In fact, the binding force is very weak compared to the binding force ofan antigen or antibody. The affinities, i.e., the force of attractionbetween molecules, of the latter can be 10³-10⁹ greater. Therefore, itis very difficult to synthesize a sufficient quantity of a carbohydratefor lab analysis. Traditionally it may take a day or more to measure asingle carbohydrate-protein interaction using compounds in microgram tomilligram amounts.

Carbohydrates, present as free oligosaccharides or as glycoconjugates,play an important role in many biological events, particularly thoseinvolving cell surfaces. Specific interactions between carbohydrates andproteins are often essential in viral and bacterial infection, theimmune response, differentiation and development, and the progression oftumor cell metastasis. Therefore an understanding ofcarbohydrate-protein interactions at the molecular level would lead to abetter insight into the biological process of living systems and assistthe development of therapeutic and diagnostic strategies.

Despite the ubiquity and importance of carbohydrates in biology,difficulties in the study of carbohydrate-protein interactions havehindered the development of a mechanistic understading of carbohydratestructure and function. The structural compolexity of carbohydrates is amajor obstacle: while the other two classes of biopolymers, nucleic acidand proteins, have a linear arrangement of repeating units, carbohydratebuilding blocks have multiple points of attachment, leading to highlybranched and stereochemically-rich structrures. In addition, bindingaffinities are weak typicall in the ˜10⁻³-10⁻⁶ M range of dissociationconstants, compared with antigen-antibody interactions (10⁻⁸-10⁻¹²).While techniques such as isothermal titration calorimetry (ITC),affinity capillary electrophoresis, surface plasmon resonance (SPR), andfrontal affinity chromatography are all significant advances, they areoften limited by the amount of available materials. Hence, the design ofsensitive and high throughput technologies for characterizingcarbohydrate-protein interactions remain a challenge.

However, little attention has been paid to the systematic kinetic andthermodynamic investigation of the interactions using glycanmicroarrays. Recently, MacBeath et al. reported a quantitative analysisof protein-peptide interactions using a protein microarray; in this workthe interadctions of Src homology 2 and the phosphotyrosine bindingdomain of phosphopeptides were measured, and this study provided abetter understanding of the tyrosine phosphorylation network for theepidemal growth factor receptor.

The glycan microarray or “sugar-chip” disclosed herein is a platform forthe investigation and manipulation of carbohydrate-protein interactions.Assessing carbohydrate affinities is typically difficult due to weakaffinities and limited sources of structurally complex glycans.Disclosed herein is a sensitive glycan microarry technology for thesimultaneous determination of a wide variety of parameters in a singleexperiment using small amounts of materials. In some aspects thismicroarray is also high throughput.

In some exemplary implementations, a dense carbohydrate microarray forquantitative protein measurements is disclosed. The microarray maycomprise: a solid substrate configured to provide a supportingsubstance; and a reactive layer fabricated on the solid substrate, thereactive layer comprising at least one reactive group of smallmolecules; wherein the at least one reactive group of small molecules isconfigured to bind with at least one protein, wherein the at least oneprotein are immobilized on the solid substrate via the reactive layer;wherein the carbohydrate microarray is configured to perform aquantitative measurement of binding ability with the at least oneprotein; wherein at least three different concentrations of the at leastone protein are provided in one chip; wherein the binding affinitybetween the small molecules and the at least one protein can bemeasured; wherein the small molecules comprise at least one ofcarbohydrates and glycolipids; wherein the small molecules are disposedrelative to each other to allow the at least one protein tomultivalently bond with the small molecules.

In some exemplary implementations, a kit is disclosed. The kit maycomprise: a high throughput carbohydrate microarray comprisingcarbohydrate spots on a solid substrate, each of the carbohydrate spotshaving a reactive group of at least one of carbohydrates andglycolipids, wherein the carbohydrates spots are configured to reactwith and bind to at least one protein; wherein the reactive groups aredisposed relative to each other to allow the at least one protein tomultivalently bond with the reactive groups; a microarray reader; andinstructions for use.

In some exemplary implementations, a method for identifying a proteinbound to a microarray of attomol quantity carbohydrates is disclosed.The method may comprise: forming a glycan microarray of spotted sugarsin concentrations each of about 10⁻¹⁸ mole; adding a labeled protein tothe microarray; incubating the micrarray; and, using an array reader toidentify labeled proteins on the glycan microarray.

DRAWINGS

The above-mentioned features and objects of the present disclosure willbecome more apparatent with reference to the following description takenin conjunction with the accompanying drawings wherein like referencenumerals denote like elements and in which:

FIG. 1 shows an implementation of glycan microarray fabrication anddetection. The N-hydroxysuccinimide (NHS) activated glass slide wasprinted with Man1 at a range of concentrations between 100 mM and 0.5fM. Fluorescent images were then probed with FITC labeled Con A. Thedetection limit was determined to be at 1 nM printing concentration andatto-mol quantities of sugars per spot. Arrow refers to the printingconcentration. The white bar (bottom right) equals 0.5 mm length. Limitof detection is signal to noise greater than 10 (s/n≧10). At this value,the sugar concentration (attomol) of samples are sufficient to meet thedefined detection limits. (1 attomol is 10⁻¹⁸ mol of a molecule.)

FIG. 2 shows an implementation of (a) Mono-mannose cadaverine wasprinted with concentrations of 100 (first left column), 80, 60, 40, 30,20, 10, 8, 6, 4, 2, 1, 0.8, 0.6, 0.4, and 0.1 μM (first right column).The images were obtained from slides incubated with differentconcentrations of FITC labeled Con A (from 800 nM to 25 nM as indicatedabove each square). (b) Binding curves for Man1 printed at differentconcentrations are shown. The curves were obtained using FITC labeledCon A. The K_(D, surf) values were obtained by fitting the curves inpanel A to eq 1.

FIG. 3 shows implementations of (a) structures of Man4, Man8, Man9; and(b) the binding curves were obtained from the function of lectins orantibody concentration and fluorescence intensity determined from arrayimages. K_(D, surf) values obtained by fitting the curves to eq 1. Theerror bars indicated in the figures show the average percentage errorfor all data points reported in the figures.

FIG. 4 shows implementations of (a) competition experiment betweensolution and surface Man8 for FITC-Man8. At different concentrations ofthe competitor, binding curves were obtained from the bound Con Aconcentrations and fluorescence intensities; and (b) the K_(D) valueswere determined from a re-plot of the K_(D app) versus free Man8concentrations according to eq 2.

FIG. 5 shows binding curves obtained from implementations of the boundMan1-Con A concentrations and fluorescence intensities. Different curvesmean different concentrations of competitor ((α-methyl)-mannose in thesolution.

FIG. 6 shows implementations of (a) structure of FITC cadaverine. (b)FITC cadaverine was printed with different concentrationsfrom 100 mM(first left column), 50 mM, 10 mM, 5 mM, 1 mM, 500 μM, 100 μM, 50 μM, 10μM, 5 μM, 1 μM, 500 nM, 100 nM, 50 nM, 10 nM, 5 nM, 1 nM, 500 pM, 100pM, 50 pM, 10 pM, 5 pM, 1 pM, 500 fM, 100 fM, 50 fM, 10 fM, 5 fM, 1 fM,0.5 fM (first right column). The image was obtained by array readerafter slide was washed with PBST (0.05 Tween 20). (c) The curves wereobtained by the function of logarithm of printing conc. and medianfluorescence intensities. Wash 1 and wash 2 are two independentexperiments. (d) Replotted the function of the printing conc. (from 100mM to 0.05 mM) and median fluorescence intensities. Goodness to fit:R²>0.99 for both lines.

FIG. 7 illustrates implementations of sugar chips at differentconcentrations. Each dark group of four circles represents a protein.The large protein is shown interacting with the light array members. InFIG. 7 a the array members are physically closer together; a protein maytherefore interact multivalently as opposed to the situation in FIG. 7 bwherein the physical gap between array members makes it difficult for aprotein to interact with multiple array members at the same time.

FIG. 8 is a diagrammatic overview of implementations of a sensitiveglycan microarray. The sugar fixed to the surface of the substrateinteracts with different concentrations of lectin (shown here with afluorescence attached). To obtain the surface KD value differentconcentration of inhibitors (light grey connected hexagons) were added,each concentration of inhibitor will generate an isotherm (right bottomchart). Based on the isotherms, the solution KD or Ki for the inhibitorsmay be obtained.

FIG. 9 shows a table providing data on the functions of differentprinting concentration, and the corresponding fluorescence intensities,and the dissociate constants on surface.

FIG. 10 shows a table providing data on competitors and solution Kivalues for the interaction with Con A.

FIG. 11 shows implementations of quantitative analysis ofprotein-carbohydrate interactions to obtain surface and solutiondissociation constants from glycan arrays. Carbohydrates with reactivegroups are immobilized on the array surface. The device (one chip)contains 2 to 50 subarray (*), each subarray contains severalcarbohydrates. When the device are immobilized with one protein(carbohydrate binding protein) with several (at least 3) concentrations,it will generate an isotherm where the apparent dissociation constant(K_(D, surf)) can be obtained (left isotherm). In the same system, whena different concentrations of carbohydrate (sugar) is co-immobilizedwith protein. a new isotherm (right isotherm) derived from carbohydrateconcentrations and apparent dissociation constants will give thesolution dissociation (K_(i) or K_(D)) of free carbohydrate.

DETAILED DESCRIPTION

In some exemplary implementations of the disclosure surface-basedcarbohydrate arrays is used to identify lectin recognition.

In some exemplary implementations of the disclosure the presentation ofcarbohydrates in a microarray provide a system and method to monitormultiple binding events and/or the effects of multivalency. In someinstances implementations of the disclosure carbohydrate-proeteininteractions on cell surface and in solution can be quantitativelymeasured by glycan microarray.

In some exemplary implementations of the disclosure a glycan microarraywith attomol-limits of detection (1 attomol is 10⁻¹⁸ mol of a molecule)is diclosed. Thus, about one milligram of a carbohydrate may be used fora large number of tests. In some instances a milligram of carbohydratemay be used as many as 10¹² times. In some instances very slight amountsof antibodies in a subject's blood stream, which can not be detected, byany other known method may be detected.

In some exemplary implementations a method for the determination ofsugar density using fluorescein isothiocyanate cadaverine to discover,confirm and/or solve the distance of two binding sites within oneprotein.

In some exemplary implementations a method to mimic cell surfacecarbohydrate-protein interactions of at least one of binding mode andstrength of carbohydrate-protein interaction.

In some exemplary implementations a glycans array to mimic cell surfacecarbohydrate-protein interactions of at least one of binding mode andstrength of carbohydrate-protein interaction which uses a very smallamount of carbohydrate.

In some exemplary implementations a method is disclosed to characterizesugar binding specificities of proteins.

In some exemplary implementations a method is disclosed for highthorughput identification of inhibitors of carbohydrate-bindingproteins.

In some exemplary methods disclosed herein the apparent binding mode andstrength of carbohydrate-protein interaction on cell surfaces aredisclosed to be mimicked and can be quantitatively analyzed by glycanarray in a rapid manner using only a very small amount of carbohydrate.

According to another aspect, one or more kits of parts can be envisionedby the person skilled in the art, the kits of parts to perform at leastone of the methods herein disclosed, the kit of parts comprising one ormore microarray devices, a solid substrate configured to provide asupporting substance; and a reactive layer fabricated on the solidsubstrate, the reactive layer compirising at least one reactive group ofsmall molecules, according to implementations disclosed herein. The kitspossibly include devices for reading, operating, interpreting, orprocessing data produced by the one or more microarrays, as well asinstructions for use of the kit and its consituent parts. For example, akit may include a microarray reader for analyzing a microarray after areaction.

Arraying and detection limit. A strategy for covalently attaching adefined glycan to a glass slide was based on the standard microarrayrobotic printing technology using N-hydroxysuccinimide (NHS) activatedglass surface, to which glycans containing an amine linked to theanomeric position were covalently attached. Prior to producing theslides, the challenges of printing concentrations were examined. Becausecarbohydrates do not fluoresce and modified carbohydrates bearingfluorescent groups might interact differently with the protein,fluorescein isothiocyanate (FITC) cadaverine was used as a model.

FITC cadaverine was printed in concentrations ranging from 100 mM to 1fM and the slide was scanned before and after washing. The surfacecoverage of FITC was measured in a fluorescence wash-off experiment andthe density of maximum loading was found to be 10¹⁴ molecules/cm² asimilar value to most peptides or sugars attached to SPR biosensorsurface. More importantly, at concentrations below 100 μM, the fractionof surface covered by each molecule varied in proportion to itsconcentration, while over 500 μM, the surface seemed to be saturated(FIGS. 6 a-6 d). Next, mono-mannose derivative bearing primary amine(Man1) were printed on the glass slide in concentrations ranging from100 mM to 0.5 fM (FIG. 1) and incubated with FITC-labeled Con A (100nM). The limit of detection was found to be in the nanomolar printingconcentration, when the ratio of signal to noise was more than 10. Thisresult demonstrates that microarrays require only a very small quantityof carbohydrate; the loading of spot is 0.6 nL and therefore the minimumamount for the detection is attomol (10⁻¹⁸ mole) per spot, allowingseveral experiments to be carried out on a single glass slide. Assayminiaturization through the construction of high density microarrays isthus well suited for the investigation of carbohydrate-proteininteraction.

Multivalent Carbohydrate-Protein Interaction on Surface. FITC labeledCon A was incubated with different printing concentrations of Man1 onthe surface, after washing the slide was scanned to get the fluorescenceintensities. A binding curve based on printing concentrations andfluorescence intensities was created, and the binding curve reachedsaturation (in the case of FITC-Con A and Man1, the curve becamesaturated at 10 μM printing conc.), which was independent of surfacedensity (surface saturated when printing concentration was over 100 μM).This saturated curve is an indication of multivalent interaction betweenprotein and printed carbohydrates. As the signal intensity in an arraydepends on the surfrace density of the immobilized carbohydrate, it isessential to normalize carbohydrate concentrations prior to printing.

In order to determine the dissociation constant on surface, proteinconcentrations were plotted against fluorescence intensity at differentconcentrations of printed sugar. FIG. 2 a depicts photgraphs of glassslides printed at 16 different concentrations with 16×16 pattern of Man1from 100 μM (first left column) to 0.1 μM (first right column). Thearrays were probed with ten concentrationsof protein-FITC labeled Con A,ranging from 800 nM to 25 nM. Con A concentrations were plotted againstmedian fluorescence intensities of replicate spots to give a set ofcurves (FIG. 2 b). The curves were analyzed as Langmuir isotherms,assuming that the sytem reached equilibrium during incubation,

$\begin{matrix}{F = \frac{F\; {\max \lbrack P\rbrack}}{\lbrack P\rbrack + K_{D,{surf}}}} & (1)\end{matrix}$

where F_(max) is the maximum flourescence intensity, a measure of theamount of active carbohydrate on the surface; [P] is the total lectinconcentration; and K_(D, surf) the equilibrium dissociation constant forsurface carbohydrate and lectin. Although the printed concentrations ofmono-mannose vary by up to 10-fold from 100 to 10 μM, the K_(D, surf)values obtained from these individual curves, as well as from replicateexperiments, are narrowly distributed (mean K_(D, surface)=83 nM;s.d.=4.7 nM; FIG. 9). However, at lower printing concentration (ca. 1μM), the surface reaches a critical density, at which point the bindingaffinity is lower, probably due to the increased spatial separation(distance) between the carbohydrates on the surface. This is because ConA is capable of forming two attachment points to the surface and thedistance between these points is approximately 65 Å. At the printingconcentration of over 10 μM, the distance between mannose residues onthe surface is close enough such that on average, an adsorbed Con A canbind to two mannose residues. However, when the printing concentrationis below 10 mM, the average distance (spatial separation) betweenimmobilized mannose residues is too far for a multivalent interactionwith Con A.

FIG. 7 provides a diagrammatic overview of the impact of concentrationon multivalent binding. Each black group of four circles represent aprotein. The protein is respresentative of Con A which has 4 bindingsites (each site is separated by a distance of about 6.5 nm). The lightgrey dots attached to the substrate are representative of sugar on thesurface. When printing of the sugars is at low concentration thedistance between any 2 sugars is represented in FIG. 7 a. In FIG. 7 athe distance between 2 binding sites is too far for the protein withmultiple binding sites to interact with more than one sugar. FIG. 7 brepresents the sugars printed at a higher concentration, in this casesugars have spatial separation which is close enough for the protein tointeract with 2 sugars. (The KD, surf values indicated that for aprinting con ≦1 μM, the K_(D, surf) value increased and there was lesstight binding), at this low concentration the average distance between 2sugars (glycans) is about 10 nm.

The increase in binding strength for multivalent interactions is shownin the K_(D, surf) values for high surface densities of a carbohydrateis the result of multivalent interactions. It is well known thatcarbohydrate-binding proteins interact weakly with monovalent ligandsbut strongly with multivalent carbohydrates. FITC washing-off experimentindicated that the average space between each sugar is about 100 Å atprinting concentration of 1 μM. This result verifies FITC to be anappropriate model for the determination of sugar density1. Accordingly,in some exemplary implementations a method is disclosed to determine thedistance of two binding sites within one protein. Applying at least someaspects of this method, different carbohydrates (Man1, Man4, Man8,Man9—see FIG. 3 a) were printed at 100 μM and measured their binding todifferent proteins at different concentrations. The mannose bindinglectings Con A, Lens culinaris agglutinin (LCA), Pisum sativumagglutinin (PSA), and the human monoclonal antibody-2G12 were eachincubated with sugar arrays in different concentrations.

The model dislcosed herein for binding fit the data well and K_(D, surf)values were obtained using eq 1 (FIG. 3 b). The relative bindingaffinities of these lectins to surface mannose were observed as ConA>LCA>PSA. The binding affinities of Con A to the four carbohydrateswere however close, all about 80 nM and consistent with the valuesdetermined by SPR. The relative binding specificity of LCA wasMan9≈Man8≈Man4>Man1 and this strongly supported that LCA preferentiallybinds to poly-mannose structure. The garden pea lectin PSA is thought tohave the same binding specificity to LCA, but in this experiment it wasfound that the binding trend of PSA to these oligosaccharides wassimilar to Con A, albeit weaker (up to two orders of magnitude). Thehuman monoclonal antibody 2G12 against the mannose epitope of gp120 onHIV was reported to be in favor of the Mana1-2 Man structure. From thisstudy, Man1 has no interaction and Man4 displayed the strongestinteraction with K_(D) of 140 nM. These values were consistent withprevious measurements from the microtiter plate assay.

We also compared the binding strength of lectins or antibodies tomannose derivatives at one or two concentrations of these proteins andobtained a ranking order for binding specificities. For example, therelative binding strength, based on maximal fluorescence intensitites,is Man4 (Fmax=36070)>Man9 (Fmax=25780)>Man8 (Fmax=13940)>Man1(Fmax=9458), but that based on dissociation constants is Man8 (K_(D)=320nM)>Man9 (K_(D)=335 nM)>Man4 (K_(D)=490 nM)>Man1 (K_(D)=3190 nM). Priorstudies of carbohydrate-protein interactions have used athreshold-based, one-step qualitative analysis i.e. interaction ornon-interaction. The threshold varies from one carbohydrate to anotherand is based on how well the carbohydrate behaves in the assay. Evenwhen closely related glycans are studied under ideal conditions, theyvary with respect to the surface density of active carbohydrates. Sincethe intensity of a spot depends both on K_(D, surf) (which results frombinding affinity), and F_(max) (which results from surface activecarbohydrate density and protein binding), the information obtained byprobing an array with a single concentration of analytes may not beaccurate. This present disclosures show that quantitative measurementscan be carried out to accurately study the nature ofcarbohydrate-protein interaction on a cell surface.

Solution Dissociation Constant. The solution equilibrium dissociationconstant (K_(D)) for carbohydrate-lectin interactions can be determinedusing microarrays in a competitive assay. The analysis allows for thedirect comparison between microarry affinities measurements to thoseobtained from solution-based affinity measurements. In a competitivebinding experiment, carbohydrates in solution compete with immobilizedcarbohydrate ligands for the binding sites on the lectin, establishing acoupled equilibrium between the binding of proetin to the immobilizedspecies and to the species present in the solution. Using array imagingsignals, the unbound protein concentration [P] can be obtained viaLangmuir isotherms (eq 1). Once the concentration of P has beenmeasured, it is possible to determine the KD using eq 2, which isderived from the multivalent Scatchard formula (see the ExperimentalSection for the derivation of eq 2)

$\begin{matrix}{F = \frac{F\; {\max \lbrack{Po}\rbrack}}{\lbrack{Po}\rbrack + {K_{D,{surf}}\left( {1 + \frac{\lbrack{Lo}\rbrack}{K_{D}}} \right)}}} & (2)\end{matrix}$

where [Lo] is ligand (carbohydrate) concentration applied to the system,and K_(D) is the solution equilibrium dissociation constant. Thederivation of this equation makes four assumptions: (1) the non-specificbinding of protein to the slide surface is negligible compared to thetotal amount of protein in the system; (2) the binding sites in theprotein bind to the ligand independently; (3) the initial concentrationof ligand is much greater than the initial concentration of protein sothat the concentration of unbound ligand is approximately equal to thetotal concentration of ligand (i.e., [Lo]≈[L]); and (4) the initialprotein concentration for the system is greater than the initialconcentration of protein-ligand complex (i.e., [Po]≈[P]). A competitionbinding experiment was performed by treating Con A to variousoligomannoses, followed by incubation with corresponding oligomannosessurface. Binding curves, representing different concentrations ofcompetitors were obtained as the function of FITC-Con A concentrationsand fluorescence intensities from the Man8 surface (FIG. 4 a). The datawas analyzed according to eq 2, to afford apparent K_(D) values, whichwere then replotted against competitor concentration to afford thesolution K_(D) values (FIG. 4 b). Using this analysis, the K_(D) valuesfor Man1, Man4, Man8, Man9 for Con A were found to be 250 μM, 55 μM,0.42 μM, and 0.13 μM, respectively. These values agree well with thesolution dissociation constants of 0.3˜1.0 mM for either Man8 or Man 9derivatives obtained from SPR followed by HPLC analysis. This analysisclearly shows that Man9 is more than 10³ fold stronger than Man1 inbinding to Con A. This is because Man8 and Man9 are bivalent ligandscontaining the α(1,6) and α(1,3) arms of the core residue; where theα(1,6) was identified as the high affinity or primary site and α(1,3)arm as the low affinity or secondary site. A comparison of the solutionKD (ex. 250 μM for the monovlent Man1) and the K_(D, surf) (83 nM)values provide the extent of multivalent effect.

Competitive Inhibitors of carbohydrate-Binding Proteins in Solution.When different inhibitors (such as α-methyl mannose (a-MeMan), α-methylglucose (a-MeGlc), and etc.) are applied to the system, binding curvescan be analyzed using eq 10 and the inhibition constant K_(i) can beobtained. Different concentrations of inhibitors were incubated with theslide bound with a protein of interest (FIG. 5), the fluorescentintensities were monitored, and then the K_(i) values were determined(FIG. 10). The values agree well with the K, of 92 μM and 290 mM (fora-MeMan and a-MeGlc, respectively) obtained by SPR, and with the K_(i)of 120 μM and 520 μM (for a-MeMan and a-MeGlc, respectively) obtained bymicrocalorimetry measurements. The relative affinity value of a-MeMan toa-MeGlc (K_(D) (a-MeGlc)/K_(D) (a-MeMan)=4.3) is consistent with theresult obtained from microcalorimetry measurements and dextranprecipitation induced by Con A. These results indicate that thiscompetition assay can reproduce the binding constants determined bywell-tested solution methods. In addition, this method has an advantagein that only one surface is needed to rapidly measure a variety ofinhibitors. Moreover, the microarray competition assay can illuminatethe molecular features important for carbohydrate-protein complexationand will provide a basis for optimizing inhibitor structure.

The glycan array system described here offers several features that makeit attractive as a tool for glycomics: it requries small quantities ofmaterials (10⁻¹⁸ mole) for high-throughput analysis, and can be used forquantitative analysis of carbohydrate-protein interaction on surface andin solution. The disclosed system is considered to be a good mimic ofcell-surface arrays of carbohydrates in which the dissocation constantsof multivalent interactionscan be determined for comparison with themonovalent, solution dissociation constants determined through thecompetition analysis.

EXAMPLE 1

Materials. NHS-coated glass slides (Nesterion H slide, SCHOTT NorthAmerica; high density amine binding slide, Amersham bioscience), FITClabeled Concanavalin A (Con A, Sigma), FITC labeled Lens culinarisagglutinin (LCA, Sigma) and FITC labeled Pisum sativum agglutinin (PSA,Sigma), α-methyl mannose (Vecotr laboratory), α-methyl galactose(Sigma). Mannose derivatives (Man1, Man4, Man8, Man9) were synthesizedas previously described.

EXAMPLE 2

Microarray Fabrication. Microarrays were printed (Genomic Solutions,Gene Machine) by robotic pin (SMP2B, TeleChem International Inc.)deposition of ˜0.6 nL of various concentrations of amine-containingglycans in print buffer (300 mM phosphate, pH 8.5 containing 0.005%Tween-20) from a 384 well plate onto slides. The slide for (1) the scopeof printing concentration studies: NHS-coated glass slides were printedwith Man1 and FITC at 30 concentrations between 0.5 fM to 100 mM fromleft to right with 16 replicates vertically placed in each sub-arrayconsisted of a 30×16 pattern of spots, with a 0.25 mm pitch. After 1 hreaction, the slides surface was divided by drawing with permanentmarker to avoid contamination for later protein incubation; (2) theslide for FIG. 2 was printed with Man1 with concentrations of 100 (firstleft column), 80, 60, 40, 30, 20, 10, 8, 6, 4, 2, 1, 0.8, 0.6, 0.4, and0.1 mM (first right column, 16 different conc.) from left to right with16 replicates vertically placed in each grid and totally 24 replicates(8×3 pattern) sub-arrays in one slide; (3) the slides for K_(D, surf)and K_(D) determination: the slides were printed of Man1, Man4, Man8,Man9 with concentration of 100 μM from right to left 16 replicatesvertically placed in each grid and totally 24 sub-arrays replicates inone slide. After 1 day reaction, the slides were washed with PBST buffer(0.05% Tween 20) for 30 min and then blocked with blocking solution(super-block blocking buffer in PBS, Pierce) for another 1 hour. Theslides were dried by pruging with Ar gas and then stored at roomtemperature in a desiccator. The slides were washed with PBS buffer (pH7.4) before use.

EXAMPLE 3

Fluorescence wash-off measurements. FITC cadaverine (FIG. 6 a) withconcentration from 100 mM to 1 fM were printed onto the slide in 16replicates and read at A488 by array scanner (Applied Precision). After12 hr reaction at dark, the slide was washed with PBST (0.05% Tween 20)buffer. The slide was dried, and then read again at A488 by array reader(FIG. 6 b). The average intensity from each concentration was plotted(FIG. 6 c). The curve showed that at concentrations below 100 μM, thefraction of surface covered by each molecule varied in proportion to itsconcentration (FIG. 6 d). Over 500 μM, the surface seems to be saturated(FIG. 6 c). The number of FITC that remain bound to the surface (Np) iscalculated by eq 3.

$\begin{matrix}{{Np} = \frac{{CVN}_{A}{Qpost}}{Qpre}} & (3)\end{matrix}$

Since the printing concentration, C=500 μM or 100 μM, and the volume,V=0.6 nL, N_(A) is Avogadro's Number. Each spot in the array is around0.1 mm diameter.

When the surface is saturated (around 100 mM to 500 mM printing FITC),the ratio from pre-quench (Qpre) to post-quench (Qpost) is 0.23(obtained from the array scanner measurement before and after washing).Based on equation 3, the surface density is between 1.8×10¹⁴molecules/cm² and 8.8×10¹⁴ molecules/cm². When the printingconcentration at 1 mM, the ratio of Qpost/Qpre is 0.1, the density is0.77×10¹² molecules/cm². If the surface was assumed to be of ahomogenous distribution, the average space between each molecule is115×10⁻⁸ m (115 Å).

EXAMPLE 4

Direct Binding Assay. FITC-labeled Con A (4 mg/ml), FITC-labeled PSA (2mg/ml), FITC-labeled LCA (2 mg/ml), were diluted in PBS-BSA buffer 50mM, pH 6.5; 1 mM CaCl₂, 1 mM MnCl, 0.9% NaCl (w/v), 1% BSA (w/v)). Humanmonoclonal antibody-2G12 was used in PBST buffer with 1% BSA. For allincubations, 10-25 μL of protein solution was applied to each sub-arrayusing a 24 well bottomless incubation chamber (The Gel Company).Humidifying incubation was performed under foil and using a shaker for 1h at room temperature. The slide was washed three times with incubationbuffer, three times with PBST buffer (0.05% Tween-20), three times withdistilled water, and then centrifuged at 200 g for 5 min to ensurecomplete dryness. The array was then imaged at a resolution of 5 Å mwitha A488 laser using ArrayWorx microarray reader to visualizefluorescence. The method for the interaction of human monoclonalantibody-2G12 with sugars was similar to lectin. 2G12 in PBST bufferwith 1% BSA was pre-complex with Cy3 labeled goat anti-human IgG(Jackson ImmunoResearch) and then placed to the slide and incubated for1 h. The images were read using A595 laser with the array reader.

EXAMPLE 5

Competitive Binding Assay. 15 μl of series dilutions of competitor wasincubated with different concentrations of protein (15 μl). The mixturewas then loaded onto the slides by using a 24 well incubation chamberand incubated for 1 h under a humidifying container at room temperature.The following procedure is the same as the direct binding assay.

EXAMPLE 6

Data analysis. ArrayVision 8.0 (Applied Precision) was used for thefluorescence analysis and extraction of data. Equilibrium binding datawere analyzed by fitting the data to the appropriate equation, assumingthat ligands bound to one or two independent sites, using the commercialnon-linear regression program GrapPad PRISM (GraphPad). The error barsindicated in the figures show the average percentage error for all datapoints reported in the figures.

EXAMPLE 7

Calculation. The formation of surface-bound complex (LP) on the slidebetween analyte protein (P) and surface bound ligand (L) can begenerally considered to the simple bimolecular reversible reactionscheme.

The observed rate of complex formation may be written

$\begin{matrix}{\frac{\lbrack{Lp}\rbrack}{t} = {{{K_{a}\lbrack L\rbrack}\lbrack P\rbrack} - {K_{b}\lbrack{LP}\rbrack}}} & (4)\end{matrix}$

The concentration of unoccupied ligand [L] is the difference between thetotal amount of ligand [Lo] and the amount of [LP]. Substituting[Lo]-[LP] for [L] in eq 4 gives

$\begin{matrix}{\frac{\lbrack{Lp}\rbrack}{t} = {{{K_{a}\lbrack P\rbrack}\left( {\lbrack{Lo}\rbrack - \lbrack{LP}\rbrack} \right)} - {K_{b}\lbrack{LP}\rbrack}}} & (5)\end{matrix}$

if the total amount of ligand [Lo] is expressed in terms of maximumanalyte binding capcity of the surface, all concentration terms can thenbe expressed a binding signal response (F).

$\begin{matrix}{\frac{\lbrack F\rbrack}{t} = {{{K_{a}\lbrack P\rbrack}\left( {{F\; \max} - F} \right)} - {K_{b}F}}} & (6)\end{matrix}$

When at equilibrium d[F]/dt=0 and K_(D, surf)=k_(d)/k_(a), thedissociation constant of ligand and protein complex is obtained as shownin eq 1.

The interaction between a monovalent ligand (L) in the solution, amonovalent ligand (L) on the surface, and a multivalent protein (P) canbe represented as

The expression for the equilibrium solution dissociation constant forthis interaction is

$\begin{matrix}{K_{D} = \frac{\lbrack L\rbrack \lbrack P\rbrack}{\left\lbrack {LP}^{*} \right\rbrack}} & (7)\end{matrix}$

where [LP*] is the concentration of protein/ligand complexes, [P] is theconcentration of free protein, and [L] is the concentration of freeligand. Since a multivalent protein (P) may have q binding sites (B),the concentration of free binding sites [B] is equal to q[P]. Likewise,the formation of a binding site/ligand complex [BP*] is equal to q[LP*].From the eq 7, both numberator and denominator muliply q value. Theinteraction of one acceptor binding site with ligand can be representedas

$\begin{matrix}{K_{D} = {\frac{{q\lbrack L\rbrack}\lbrack P\rbrack}{q\left\lbrack {LP}^{*} \right\rbrack} = \frac{\lbrack L\rbrack \lbrack B\rbrack}{\left\lbrack {LB}^{*} \right\rbrack}}} & (8)\end{matrix}$

Since the binding sites in the protein bind to the ligandsindependently, the individual dissociation constant is therefore thesame as protein dissociation constant.

Then, a value is defined as ratio of free protein and total proteinwhich is then substituted [LP*] value by eq 7 and rearranged to give eq9.

$\begin{matrix}{\alpha = {\frac{\lbrack P\rbrack}{\lbrack P\rbrack + \left\lbrack {LP}^{*} \right\rbrack} = \frac{1}{\frac{\lbrack{Lo}\rbrack}{K_{D}} + 1}}} & (9)\end{matrix}$

To determine K_(D), the unbound protein in this system is calculated tobecome a[Po] and which is substituted to eq 1 and rearranges to yield eq2.

The interaction between inhibitors (I) in the solution, a ligand (L) onthe surface and multivalent protein (P) can be represented as

The array imaging data is used to measure [P] and K_(i) can bedetermined by the eq 10.

$\begin{matrix}{F = \frac{F\; {\max \lbrack{Po}\rbrack}}{\lbrack{Po}\rbrack + {K_{D,{surf}}\left( {1 + \frac{\lbrack I\rbrack}{K_{i}}} \right)}}} & (10)\end{matrix}$

The fraction of inhibition (f) is equal to 1-F/Fmax, the equation fromeq 10 can be rearranged to give eq 11.

$\begin{matrix}{{1 - \frac{F}{F\; \max}} = {f = \frac{\lbrack I\rbrack}{\lbrack I\rbrack + {K_{i}\left( {1 + \frac{\lbrack{Po}\rbrack}{K_{D}}} \right)}}}} & (11)\end{matrix}$

Shown in FIG. 8 is an exemplar of a method and process of a sugar fixedto the surface of an array substrate interacting with differentconcentrations of lectin (which a fluorescence attached). To obtain thesurface K_(D) value different concentration of inhibitors (shown aslight grey connected hexagons) were added to the microarray, eachconcentration of inhibitor can generate an isotherm (right bottomchart.). Based on the isotherms the solution K_(D) or K_(i) for theinhibitors may be obtained.

While the method and agent have been described in terms of what arepresently considered to be the most practical and preferredimplementations, it is to be understood that the disclosure need not belimited to the disclosed exemplary implementations. It is intended tocover various modifications and similar arrangements included within thespirit and scope of the claims, the scope of which should be accordedthe broadest interpretation so as to encompass all such modificationsand similar structures. The present disclosure includes any and allimplementations of the following claims.

What is claimed is:
 1. A carbohydrate microarray for proteinmeasurements, comprising: a solid substrate configured to provide asupporting substance; and a reactive layer fabricated on the solidsubstrate, the reactive layer comprising at least one group of smallmolecules wherein the small molecules comprise at least one ofcarbohydrates and glycolipids wherein the small molecules are disposedrelative to each other to allow the at least one protein tomultivalently bond with the small molecules; wherein the at least onegroup of small molecules is configured to bind with at least one proteinwherein the at least one protein is immobilized on the solid substratevia the reactive layer; wherein the carbohydrate microarray isconfigured to perform quantitative measurement of binding with the atleast one protein; and wherein at least one protein of a givenconcentration is applied whereby the binding affinity between the smallmolecules and the at least one protein can be measured.
 2. The device ofclaim 1, wherein an average spatial separation between the smallmolecules ranges from about 65 Angstrom to about 100 Angstrom.
 3. Thedevice of claim 1, wherein the proteins comprise at least one ofcarbohydrate binding proteins and lipid binding proteins.
 4. The deviceof claim 1, wherein the proteins are fluorescence labeled or can bedetected by a secondary labeled protein.
 5. The device of claim 1,wherein each of the at least one reactive group has at least about 10⁻¹⁸mole of carbohydrate.
 6. The device of claim 1, wherein carbohydrateswith reactive groups are immobilized on the surface of the devicewherein the arrays comprise about 2 to 50 subarrays wherein eachsubarray contains one or more carbohydrates.
 7. A kit comprising: acarbohydrate microarray comprising carbohydrate deposited on a solidsubstrate, each carbohydrate comprising a reactive group of at least oneof carbohydrate and glycolipid, wherein the carbohydrates are configuredto react with and bind to at least one protein; wherein the reactivegroups are disposed relative to each other to allow the at least oneprotein to multivalently bond with the reactive groups; a microarrayreader; and instructions for use.
 8. The kit of claim 7, wherein thecarbohydrates of the microarray are deposited at least about 10⁻¹⁸ moleof carbohydrate molecule per spot.
 9. The kit of claim 7, wherein thecarbohydrates include at least one glycan.
 10. The kit of claim 7,wherein the carbohydrates include at least one glycolipid.